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# ZingPath: Solving and Graphing Linear Equations

## Solving One-Step Linear Equations                            Searching for

## Solving and Graphing Linear Equations

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### Lesson Focus

#### Solving One-Step Linear Equations

Pre-Algebra

You will solve one-step linear equations in one variable using addition, subtraction, multiplication, or division.

### Now You Know

After completing this tutorial, you will be able to complete the following:

• Solve one-step linear equations in one variable using addition.
• Solve one-step linear equations in one variable using subtraction.
• Solve one-step linear equations in one variable using multiplication.
• Solve one-step linear equations in one variable using division.

### Everything You'll Have Covered

In order to successfully complete this Activity Object, students should be able to solve one-step equations, basic operations on integers, plot ordered pairs on a coordinate grid and be familiar with representations of linear equations. Some of the following key vocabulary words may be more of a review for the students, but very important for this Activity Object.

The following key vocabulary terms will be used throughout this Activity Object:

Coordinate plane - a plane formed by the intersection of a horizontal number line (the x-axis) and a vertical number line (the y-axis) at their zero points (the origin). Line graph - a graph that uses line segments to show changes in data; the data usually represents a quantity changing over time. Linear equation - an equation in the form y = mx + b, where m and b are constants. The graph of a linear equation is a straight lie.

For example, Ordered pair - a pair of numbers used to locate a point on a coordinate plane. An ordered pair is written in the form (x, y) where x is the x-coordinate and y is the y-coordinate.

(2, 5), (7, -3), (0, 0)

x value - the first number in an ordered pair is the x value or x-coordinate. It tells how fare to move left or right from the origin along the x-axis.

For example,

In the ordered pair (2, 5), the x value is 2.

y value - the second number in an ordered pair is the y value or y-coordinate. It tells how far to move left or right from the origin along the y-axis.

### Tutorial Details

 Approximate Time 25 Minutes Pre-requisite Concepts Students should know the definitions of equation, linear equation, linear equation in one variable, and reciprocal. Course Pre-Algebra Type of Tutorial Dynamic Modeling Key Vocabulary coefficient of the variable, equation, linear equation